This article is cited in 12 papers

Papers published in the English version of the journal

Sublinear Operators with Rough Kernel Generated by Calderón–Zygmund Operators and Their Commutators on Generalized Morrey Spaces

F. Gürbüz

Department of Mathematics, Ankara University, Ankara, Turkey

Abstract: The aim of this paper is to establish the boundedness of certain sublinear operators with rough kernel generated by Calderón–Zygmund operators and their commutators on generalized Morrey spaces under generic size conditions which are satisfied by most of the operators in harmonic analysis. The Marcinkiewicz operator which satisfies the conditions of these theorems can be considered as an example.

Keywords: sublinear operator, Calderón–Zygmund operator, rough kernel, generalized Morrey space, commutator, $\operatorname{BMO}$.

Received: 06.06.2016

 English version: Mathematical Notes, 2017, 101:3, 429–442

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